A compact subset of $\mathbb{R}^n$ is called a Kakeya set if it contains a unit line segment in every direction. Kakeya conjecture over $\mathbb{R}^n$ predicts that the Hausdorff as well as Minkowski dimension of such sets is $n$. This is resolved
for $n=1$ and $2$. Recently a resolution is proposed is for $n=3$ by Hong Wang and
Joshua Zahl.
Wolff formulated an analogue of Kakeya conjecture over finite fields. Several authors including Nick Katz, Terence Tao had partial results towards this conjecture
before the seminal work of Zeev Dvir who settled the conjecture.
In this talk, after a quick review of the known results, we will give a complete
proof of the result of Zeev Dvir.
Join Zoom Meeting
https://zoom.us/j/95038155052
Meeting ID: 950 3815 5052
Passcode: 272075